Comparison between plate and shell models for scattering from a framed elastic cyclinder

In this technical brief, a consistent rotation-based formulation is proposed using the absolute nodal coordinate formulation (ANCF) kinematic description. The proposed formulation defines a unique rotation field, employs one interpolation, captures shear deformations, does not suffer from the redundancy problem encountered when using large rotation vector formulations, allows for systematically describing curved geometry, and leads to elastic force definitions that eliminate high-frequency modes associated with the deformation of the cross section. The drawback of this formulation, as it is the case with the large rotation vector formulations, is the nonlinearity of the inertia forces including nonzero Coriolis and centrifugal forces. Furthermore, the formulation does not capture deformation modes that can be captured using the more general ANCF finite elements. Nonetheless, the proposed method is consistent with the continuum mechanics general description, can be related to computational geometry methods, and can be used to develop beam, plate, and shell models without violation of basic mechanics principles.

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7. Rod, Beam, Plate and Shell Models

Smart Material Systems ◽

10.1137/1.9780898717471.ch7 ◽

2005 ◽

pp. 295-371

Keyword(s):

Plate And Shell ◽

Shell Models

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On the Plastic Buckling Paradox for Cylindrical Shells

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1243/pime_proc_1996_210_221_02 ◽

1996 ◽

Vol 210 (5) ◽

pp. 477-488 ◽

Cited By ~ 16

Author(s):

J Blachut ◽

G D Galletly ◽

S James

Keyword(s):

Biaxial Loading ◽

Flow Theory ◽

External Pressure ◽

Test Results ◽

Plastic Buckling ◽

Shell Buckling ◽

Axial Tension ◽

Plate And Shell ◽

Shell Models ◽

Flow Theories

Previous investigations have raised some doubts about the accuracy of flow theory predictions for a few plate and shell plastic buckling problems. The present series of buckling experiments on machined, mild steel, cylindrical shell models under non-proportional biaxial loading (axial tension plus external pressure) was designed to provide additional data for the evaluation of the J2 plasticity theories. Numerical calculations were carried out with the BOSOR 5 shell buckling program, using the J2 deformation and flow theories, and these were compared with the test results. Neither theory can be said to predict plastic buckling accurately. However, deformation theory predicted the bifurcation buckling loads reasonably well, whereas flow theory was often incorrect.

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Hierarchic plate and shell models based onp-extension

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620260812 ◽

1988 ◽

Vol 26 (8) ◽

pp. 1855-1881 ◽

Cited By ~ 114

Author(s):

Barna A. Szabó ◽

Glenn J. Sahrmann

Keyword(s):

Plate And Shell ◽

Shell Models

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Influence of fasteners and connections flexibility on deflections of steel building including the stressed skin effect

Technical Sciences ◽

10.31648/ts.2722 ◽

2018 ◽

Vol 2 (21) ◽

pp. 131-148 ◽

Cited By ~ 1

Author(s):

Natalia Korcz ◽

Elżbieta Urbańska-Galewska

Keyword(s):

Finite Elements ◽

Skin Effect ◽

Numerical Models ◽

Orthotropic Shell ◽

3D Structure ◽

Negligible Effect ◽

Transverse Stiffness ◽

Shell Models ◽

Steel Building ◽

Two Sides

The paper presents the analysis of the influence of fasteners and connections flexibility on displacements of symmetrical single-bay pitched-roof steel building, including trapezoidal cladding acting as a diaphragm. The purpose of the article was to compare numerical models with and without taking into consideration fasteners and connections flexibility in order to observe the differences in transverse stiffness of the building during modifying model from the simple one to more complex and precise. The analyses were carried out for the 3D structure. Fasteners and connections were substituted by equivalent beam finite elements. Corrugated sheets were replaced by three types of equivalent orthotropic shell models and the influence of the choice of the model on the stiffness of the building was observed. The results showed that in the analysed structure the flexibility of fasteners and connections has negligible effect on transverse displacements of the building in the case of four sides fastening of the sheeting, however in the case of two sides fastening the influence significantly increases.

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Multiple particle tracking

10.1093/oso/9780199655205.003.0004 ◽

2018 ◽

Cited By ~ 1

Author(s):

Eric M. Furst ◽

Todd M. Squires

Keyword(s):

Brownian Motion ◽

Best Practices ◽

Particle Tracking ◽

Heterogeneous Material ◽

Quantitative Measurements ◽

Particle Tracking Microrheology ◽

Shell Models ◽

Multiple Particle Tracking ◽

Microscopy Data ◽

Multiple Particle

The fundamentals and best practices of multiple particle tracking microrheology are discussed, including methods for producing video microscopy data, analyzing data to obtain mean-squared displacements and displacement correlations, and, critically, the accuracy and errors (static and dynamic) associated with particle tracking. Applications presented include two-point microrheology, methods for characterizing heterogeneous material rheology, and shell models of local (non-continuum) heterogeneity. Particle tracking has a long history. The earliest descriptions of Brownian motion relied on precise observations, and later quantitative measurements, using light microscopy.

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